SOLUTION: Please tell how to graphically locate the nth roots of a complex number, given the location of one of the nth roots. Thanks!!

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Question 632217: Please tell how to graphically locate the nth roots of a complex number, given the location of one of the nth roots. Thanks!!
Answer by KMST(5328)   (Show Source): You can put this solution on YOUR website!
The n roots of a number will be located in a circle, equally spaced at angles of
For example, if A is one of the 6th roots of a number, the other 5 roots are at the ends of the green spokes, all spaced at angles
. That is because
if two of the roots are and
the nth power of that is

That means that the angle and are co-terminal, meaning that for some k integer.
--> --> --> -->
so the angles are spaced apart,
like spokes of a wheel with n spokes.

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